Least Common Multiple of 49/909, 64/204, 220/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/909, 64/204, 220/945 quickly i.e. 172480/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/909, 64/204, 220/945 is 172480/3.

LCM(49/909, 64/204, 220/945) = 172480/3

LCM of 49/909, 64/204, 220/945

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 49/909,64/204,220/945

Given numbers are 49/909,64/204,220/945

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 49,64,220

Least Common Multiple of Numerators i.e. LCM of 49,64,220 is 172480.

GCF of Denominators means GCF of 909,204,945 as per the given fractions.

GCF of 909,204,945 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,64,220

LCM of Fractions 49/909,64/204,220/945 is 172480/3

2 49, 64, 220
2 49, 32, 110
49, 16, 55

∴ So the LCM of the given numbers is 2 x 2 x 49 x 16 x 55 = 172480

Least Common Multiple of 49,64,220 with GCF Formula

Least Common Multiple of 49,64,220 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 49,64,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,64,220) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(49,64,220) x common factors =1 x 4 = 4

LCM(49,64,220) = ( 49 × 64 × 220 ) / 4

LCM(49,64,220) = 689920 / 4

LCM(49,64,220) = 172480


Lets's calculate GCF of 909,204,945

3 909, 204, 945
303, 68, 315

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 172480/3

Therefore the LCM of Fractions 49/909,64/204,220/945 is 172480/3

Greatest Common Factor of 909,204,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 909,204,945 By Matching Biggest Common Factor Method

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 909,204,945 . The biggest common factor number is the GCF number.
So the greatest common factor 909,204,945 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 49/909, 64/204, 220/945

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 49/909, 64/204, 220/945?

Answer: LCM of Numerators as per given numbers 49/909, 64/204, 220/945 is

LCM of Numerators i.e. for 49,64,220 is 172480

GCF of denominators i.e. for 909,204,945 is 3.

Thus, LCM of Fractions is 172480/3.Finally, LCM of Fractions for 49/909, 64/204, 220/945 is 172480/3.